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Finding the Third Proportional to 197,392 and 402,112

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Solution

The third proportional to 197,392 and 402,112 is: 819,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,392 : 402,112 = 402,112 : x
  2. Step 2: Convert to fraction form
    197,392/402,112 = 402,112/x
  3. Step 3: Cross multiply
    197,392x = 402,112 × 402,112
  4. Step 4: Simplify right side
    197,392x = 161,694,060,544
  5. Step 5: Solve for x
    x = 161,694,060,544/197,392
  6. Step 6: Final answer
    x = 819,152.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.